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Finding the Fourth Proportional to 4,543.49, 6,815.10 and 1,256.78

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Solution

The fourth proportional to 4,543.49, 6,815.10 and 1,256.78 is: 1,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.49 : 6,815.10 = 1,256.78 : x
  2. Step 2: Convert to fraction form
    4,543.49/6,815.10 = 1,256.78/x
  3. Step 3: Cross multiply
    4,543.49x = 6,815.10 × 1,256.78
  4. Step 4: Simplify right side
    4,543.49x = 8,565,081.38
  5. Step 5: Solve for x
    x = 8,565,081.38/4,543.49
  6. Step 6: Final answer
    x = 1,885.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.